FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

FINITENESS OF COMMUTABLE MAPS OF BOUNDED DEGREE

In this paper, we study the relation between two dynamical systems (V, f) and (V, g) with $f{\circ}g=g{\circ}f$. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Preper(f)) has only finitely many endomorphisms (respectively polynomial maps...

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Veröffentlicht in:Taehan Suhakhoe hoebo 2015, Vol.52 (1), p.45-56
Hauptverfasser: Lee, Chong Gyu, Ye, Hexi
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description In this paper, we study the relation between two dynamical systems (V, f) and (V, g) with $f{\circ}g=g{\circ}f$. As an application, we show that an endomorphism (respectively a polynomial map with Zariski dense, of bounded Preper(f)) has only finitely many endomorphisms (respectively polynomial maps) of bounded degree which are commutable with f.
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